Lower bounds for polynomials of a quaternionic variable

DOI10.1090/S0002-9939-2011-11027-XzbMath1244.30070OpenAlexW2066269062MaRDI QIDQ5390218

Daniele C. Struppa, Graziano Gentili

Publication date: 27 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11027-x

zbMATH Keywords

quaternionic variableEhrenpreis-Malgrange lemma

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• Extension results for slice regular functions of a quaternionic variable
• The fundamental theorem of algebra for Hamilton and Cayley numbers
• Zeros of regular functions and polynomials of a quaternionic variable
• On the multiplicity of zeroes of polynomials with quaternionic coefficients
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• The Open Mapping Theorem for Regular Quaternionic Functions
• On the Structure of the Set of Zeros of Quaternionic Polynomials

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